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Finding the Third Proportional to 19,396 and 29,454

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Solution

The third proportional to 19,396 and 29,454 is: 44,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,396 : 29,454 = 29,454 : x
  2. Step 2: Convert to fraction form
    19,396/29,454 = 29,454/x
  3. Step 3: Cross multiply
    19,396x = 29,454 × 29,454
  4. Step 4: Simplify right side
    19,396x = 867,538,116
  5. Step 5: Solve for x
    x = 867,538,116/19,396
  6. Step 6: Final answer
    x = 44,727.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.